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Finding the Fourth Proportional to 106,950.96, 160,428.06 and 40,422.42

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Solution

The fourth proportional to 106,950.96, 160,428.06 and 40,422.42 is: 60,634.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,950.96 : 160,428.06 = 40,422.42 : x
  2. Step 2: Convert to fraction form
    106,950.96/160,428.06 = 40,422.42/x
  3. Step 3: Cross multiply
    106,950.96x = 160,428.06 × 40,422.42
  4. Step 4: Simplify right side
    106,950.96x = 6,484,890,421.11
  5. Step 5: Solve for x
    x = 6,484,890,421.11/106,950.96
  6. Step 6: Final answer
    x = 60,634.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.